Linear Matrix Inequalities (LMIS)
Optimal Dosing of Breast Cancer Chemotherapy Using Robust MPC Based on Linear Matrix Inequalities
... Abstract. In this paper, we consider an application of robust model predictive control to optimal dosing of breast cancer chemotherapy. The model-patient mismatch is handled by computing an ellipsoidal invariant set ...
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Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm
... Multivariable Static Output Feedback Control of a Binary Distillation Column using Linear Matrix Inequalities and Genetic Algorithm.. Kalpana R.[r] ...
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Search Directions in Infeasible Newton’s Method for Computing Weighted Analytic Center for Linear Matrix Inequalities
... Four search direction methods for Infeasible Newton’s method for computing weighted analytic center for linear matrix inequalities, namely: ZY, ZY+YZ, Z −1 and NT methods are presented and compared. ...
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New stability criteria for asymptotic stability of time delay systems via integral inequalities and Jensen inequalities
... asymptotically stable. Thirdly, two classes of delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) are derived, such that the control design conditions are relaxed and ...
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On Delay-Range-Dependent and Delay-Rate-Dependent Stability for Delayed Systems
... integral inequalities and the reciprocally convex combination lemma, we obtain less conservative stability criteria formulated in form of linear matrix inequalities ...
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Finite time Stability of Uncertain Neutral type Neural Networks with Time varying Delay
... employing Linear Matrix Inequalities (LMIs) technique, Lyapunov-Krasovskii functional method and using some novel lemmas, we establish the sufficient conditions to guarantee that the uncertain ...
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A New Approach to Stabilization of Continuous- Time T-S Fuzzy Control Systems via Fuzzy Lyapunov Function
... symmetric matrix in the form of linear matrix inequalities (LMIs) which can be efficiently solved using convex optimization ...common matrix should be found for all the subsystems of ...
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Beampattern Synthesis with Linear Matrix Inequalities Using Minimal Array Sensors
... respectively where ξ is an arbitrary real scalar and X, Z º 0 denotes positive semi-definite Hermitian matrices. ¯ L(·) and ¯ Λ(·) are linear operators where their definitions have been deferred to the Appendix. ...
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Matrix positivity preservers in fixed dimension
... tight linear matrix inequalities for Hadamard powers of positive semidefinite matrices, and a sharp asymptotic bound for the matrix cube problem involving Hadamard ...
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Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
... of linear and convex quadratic op- ...as Linear Matrix Inequalities (LMI) methods, are convex optimization problems, and correspond to the particular case of the convex set being the ...
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Inequalities for ranks of matrix expressions involving generalized inverses
... a matrix expression with some variant matrices in it, the rank of the matrix ex- pression will vary with respect to the variant ...of matrix is an in- teger between and the minimum of row and ...
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An application of matrix inequalities to certain functional inequalities involving fractional powers
... related matrix inequalities. A capital letter means a matrix whose entries are complex ...square matrix T is said to be pos- itive semidefinite (denoted by ≤ T ) if ≤ (Tx, x) for all ...
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Lyapunov type inequalities for a class of even order differential equations
... higher-order linear equations and the linear Hamiltonian ...nov-type inequalities and their applications can be found in the survey article by Cheng ...
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Norm Inequalities for Sequences of Operators Related to the Schwarz Inequality
... Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given.. Applications for vector inequalities a[r] ...
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Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... bounded linear operators defined on a Hilbert space H. Reverse inequalities that provide upper bounds for the nonnegative quantities kAk − w (A) and w (A) − hA, Ii p,n under various as- sumptions for the ...
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On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications
... convolution matrix operation. Further, we present some results which includes matrix equalities as well as inequalities related to these products and give attractive application to the ...
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Algebra Syllabus
... In this course, scholars will develop fluency with linear, quadratic, and exponential functions in order to prepare for the IB Diploma Program math courses. Some of the overarching ideas in the Algebra 1 course ...
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Some inequalities for the Hadamard product of an M matrix and an inverse M matrix
... ≤ i ≤ n, ≤ j ≤ n. If A ≥ (> ), we say that A is a nonnegative (positive) matrix. The spectral radius of A is denoted by ρ(A). Let A be an irreducible nonnegative matrix. It is well known that ...
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New inequalities for the Hadamard product of an M matrix and an inverse M matrix
... Some new convergent sequences of the lower bounds of the minimum eigenvalue τ B ◦ A–1 for the Hadamard product of B and A–1 are given.. Numerical examples are given to show that these s[r] ...
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Linear and Riccati matrix equations
... In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with [r] ...
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