High-order maximum principles for the stability analysis of positive bilinear control systems
DOI10.1002/oca.2224zbMath1348.93156arXiv1407.3437OpenAlexW2963103550MaRDI QIDQ2830300
Publication date: 28 October 2016
Published in: Optimal Control Applications and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.3437
absolute stabilityvariational approachPerron-Frobenius theorypositive switched systemshigh-order maximum principlesstability under arbitrary switching laws
Robust stability (93D09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Cites Work
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- Convexity of the cost functional in an optimal control problem for a class of positive switched systems
- Stability theory of switched dynamical systems
- Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
- Asymptotic exponential cones of Metzler matrices and their use in the solution of an algebraic problem
- Stability analysis of switched systems using variational principles: An introduction
- Third-order nilpotency, nice reachability and asymptotic stability
- Stability of planar switched systems: the nondiagonalizable case
- A simplification of the Agrachev-Gamkrelidze second-order variation for bang-bang controls
- A second-order maximum principle for discrete-time bilinear control systems with applications to discrete-time linear switched systems
- Extremal norms for positive linear inclusions
- Analysis of Discrete-Time Linear Switched Systems: A Variational Approach
- A Maximum Principle for the Stability Analysis of Positive Bilinear Control Systems with Applications to Positive Linear Switched Systems
- Matrices
- Finite-time control and L 1 -gain analysis for positive switched systems
- A note on stability conditions for planar switched systems
- The High Order Maximal Principle and Its Application to Singular Extremals
- Lie Algebras of Vector Fields and Local Approximation of Attainable Sets
- On the Local Structure of Optimal Trajectories in R3
- On the NP-Hardness of Checking Matrix Polytope Stability and Continuous-Time Switching Stability
- On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
- Nice reachability for planar bilinear control systems with applications to planar linear switched systems [corrected]
- Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
- On the Stability of Switched Positive Linear Systems
- Co-Positive Lyapunov Functions for the Stabilization of Positive Switched Systems
- On Certain Questions in the Theory of Optimal Control
- The “Bang-Bang” Problem for Certain Control Systems in $GL(n,R)$
