7 citations · 8 across the 13 of their papers we have counts for
13 papers
Bilateral Solution Bounds and Successive Estimation of Boundedness and Stability Regions for Vector Delay Nonlinear Time-Varying Systems
Mark A. Pinsky
Stability and boundedness analysis for vector nonlinear systems with variable delays and coefficients remains challenging due to the conservatism of existing methods. Moreover, est…
Estimating the Evolution of Solution Norms in Vector Delay Nonlinear Systems: Stability and Boundedness
Mark A. Pinsky
Existing methods rarely capture the temporal evolution of solution norms in vector nonlinear DDEs with variable delays and coefficients, often leading to overly conservative bounde…
A New Approach to Reducing Vector Delay Nonlinear Systems: Boundedness and Stability Analysis
Mark A. Pinsky
This paper introduces a new method for assessing the boundedness and stability of certain vector nonlinear systems with delays and variable coefficients. The approach is based on d…
Bilateral Bounds for Norms of Solutions and Boundedness/Stability and Instability of Some Nonlinear Systems with Delays and Variable Coefficients
Mark A. Pinsky
This paper presents a novel methodology for evaluating the boundedness, stability, and instability of some vector nonlinear systems with multiple time-varying delays and variable c…
Application of a Novel Model Reduction Technique to the Assessment of Boundedness/Stability of Some Delay Time-Varying Vector Nonlinear Systems
Mark A. Pinsky
Assessing the boundedness and stability of vector nonlinear systems with variable delays and coefficients remains a challenging problem with broad applications in science and engin…
Optimal Dichotomy of Temporal Scales and Boundedness and Stability of Time-Varying Multidimensional Nonlinear Systems
Mark A. Pinsky
This paper develops a new approach to the estimation of the degree of boundedness or stability of multidimensional nonlinear systems with time-dependent nonperiodic coefficients-an…
Successive Estimations of Bilateral Bounds and Trapping/Stability Regions of Solution to Some Nonlinear Non-autonomous Systems
Mark A. Pinsky
Estimation of the degree of stability and the bounds of solutions to non-autonomous nonlinear systems present major concerns in numerous applied problems. Yet, current techniques a…
Stability and Boundedness of Solutions to Some Non-autonomous Multidimensional Nonlinear Systems
Mark A. Pinsky
Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied…
Solution Bounds, Stability and Estimation of Trapping/Stability Regions of Some Nonlinear Time-Varying Systems
Mark A. Pinsky, Steve Koblik
Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous engineering, natural science and control problems. Yet, practically valuab…
Solution Bounds, Stability and Attractors Estimates of Some Nonlinear Time-Varying Systems
Mark A. Pinsky, Steve Koblik
Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous applied and control problems. Yet, practically valuable results are rare i…
Output Control of Smart Beams under Uncertain Dynamic Loads through Non-Collocated Sensors and Actuators
M. A. Pinsky, A. O. Ozer
A problem of vibration control of smart beams was addressed in various publications which primarily utilize collocated sensors and actuators and neglect the effect of measurement n…
Growth Properties of Fourier Transforms
William O. Bray, Mark A. Pinsky
In a recent paper by the authors, growth properties of the Fourier transform on Euclidean space and the Helgason Fourier transform on rank one symmetric spaces of non-compact type…
Speed of convergence of two-dimensional Fourier integrals
Mark A. Pinsky
Recently we found necessary and sufficient conditions for the convergence at a preassigned point of the spherical partial sums of the Fourier integral in a class of piecewise smoot…